Constants | Periodic Table What is the angular separation of the two stars? Give

Question

Constants | Periodic Table What is the angular separation of the two stars? Give your answer in degrees. Express your answer using two significant figures. Suppose that two stars in a binary star system are separated by a distance of 50 million kilometers and are located at a distance of 200 light-years from Earth. Submit Previous Answers Request Answer X Incorrect; Try Again; 4 attempts remaining Part B What is the angular separation of the two stars? Give your answer in arcseconds. Express your answer using two significant figures. Il

Explanation / Answer

(A) Find the ratio of separation to distance, that directly translates to angle in Radians.

separation = 50 million kilometers = about 0.334 AU.

distance = 200 light years = 200 x 63240 AU = 12,648,000 AU

angle (ratio) = separation/distance =0.334/12,648,000 Radian = 1.5*10^-6 degrees

(B) There are 206,266 arc seconds in 1 Radian.

206,266 x (0.334/12,648,000) = 0.0054 arc seconds

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